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  • Electric Field Strength at Earth's Radius: Calculation & Explanation
    The formula for the electric field of a point charge is:

    $$E=k\frac{Q}{r^2}$$

    Where:

    $E$ is the electric field strength in Newtons per coulomb.

    $k$ is the Coulomb constant equal to $8.988\times10^9$

    $Q$ is magnitude of the charge in coulomb.

    $r$ is the distance from the charge in meters.

    The Earth has a charge of $-6.0\times10^{13} C$ with its radius \(6.378\times10^6\)m

    Substituting to calculate electric field \(E\):

    $$E=8.988\times10^9\frac{6.0\times10^{13}}{(6.378\times10^6)^2}$$

    $$E= 1.34\times10^2 $$$$V/m$$

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